Solve x/y=5.3/6.7

$$\frac { x } { y } = \frac { 5.3 } { 6.7 }$$

Solve for x

$$x=\frac{53y}{67}$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$x=y\times \frac{5.3}{6.7}$$

Expand \frac{5.3}{6.7} by multiplying both numerator and the denominator by 10.

$$x=y\times \frac{53}{67}$$

Solve for y

$$y=\frac{67x}{53}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$x=y\times \frac{5.3}{6.7}$$

Expand \frac{5.3}{6.7} by multiplying both numerator and the denominator by 10.

$$x=y\times \frac{53}{67}$$

Swap sides so that all variable terms are on the left hand side.

$$y\times \frac{53}{67}=x$$

The equation is in standard form.

$$\frac{53}{67}y=x$$

Divide both sides of the equation by \frac{53}{67}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{53}{67}y}{\frac{53}{67}}=\frac{x}{\frac{53}{67}}$$

Dividing by \frac{53}{67} undoes the multiplication by \frac{53}{67}.

$$y=\frac{x}{\frac{53}{67}}$$

Divide x by \frac{53}{67} by multiplying x by the reciprocal of \frac{53}{67}.

$$y=\frac{67x}{53}$$

Variable y cannot be equal to 0.

$$y=\frac{67x}{53}\text{, }y\neq 0$$